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Finding the Third Proportional to 46,370 and 67,611

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Solution

The third proportional to 46,370 and 67,611 is: 98,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,370 : 67,611 = 67,611 : x
  2. Step 2: Convert to fraction form
    46,370/67,611 = 67,611/x
  3. Step 3: Cross multiply
    46,370x = 67,611 × 67,611
  4. Step 4: Simplify right side
    46,370x = 4,571,247,321
  5. Step 5: Solve for x
    x = 4,571,247,321/46,370
  6. Step 6: Final answer
    x = 98,582.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.